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<b>let </b><font color="Maroon" title="c1">H</font> be   <a href="zf_lang.html#NM2" title="ZF_LANG:NM.2">ZF-formula</a>;<br/>

<b>assume </b><a NAME="E1:25"/>
<font color="Maroon" title="c1">H</font> is <a href="zf_lang.html#V9" title="ZF_LANG:attr.9">conditional</a>
 ;<br/>

<a NAME="E2:25"/><b>then </b>
<font color="Maroon" title="c1">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="zf_lang.html#K25" title="ZF_LANG:func.25">the_antecedent_of</a> <font color="Maroon" title="c1">H</font></span>)</span> <a href="zf_lang.html#K11" title="ZF_LANG:func.11">=&gt;</a> <span class="p1">(<span class="default"><a href="zf_lang.html#K26" title="ZF_LANG:func.26">the_consequent_of</a> <font color="Maroon" title="c1">H</font></span>)</span>
 
<b>by </b><i><a class="ref" href="zf_lang.html#T65" title="ZF_LANG:th.65">ZF_LANG:65</a></i>;<br/>
<a NAME="E3:25"/><b>then </b><i><font color="Green" title="E10">A1</font></i>: 
<font color="Maroon" title="c1">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zf_lang.html#K6" title="ZF_LANG:func.6">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="zf_lang.html#K25" title="ZF_LANG:func.25">the_antecedent_of</a> <font color="Maroon" title="c1">H</font></span>)</span> <a href="zf_lang.html#K7" title="ZF_LANG:func.7">'&amp;'</a> <span class="p2">(<span class="default"><a href="zf_lang.html#K6" title="ZF_LANG:func.6">'not'</a> <span class="p3">(<span class="default"><a href="zf_lang.html#K26" title="ZF_LANG:func.26">the_consequent_of</a> <font color="Maroon" title="c1">H</font></span>)</span></span>)</span></span>)</span>
 
;<br/>
<b>hence </b><a NAME="E4:25"/>
<font color="Maroon" title="c1">H</font> is <a href="zf_lang.html#V4" title="ZF_LANG:attr.4">negative</a>
 <b>by </b><i><a class="ref" href="zf_lang.html#T16" title="ZF_LANG:th.16">ZF_LANG:16</a></i>;<br/>

<a NAME="E5:25"/><i><font color="Green" title="E11">A2</font></i>: 
 <a href="zf_lang.html#K20" title="ZF_LANG:func.20">the_argument_of</a> <font color="Maroon" title="c1">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="zf_lang.html#K25" title="ZF_LANG:func.25">the_antecedent_of</a> <font color="Maroon" title="c1">H</font></span>)</span> <a href="zf_lang.html#K7" title="ZF_LANG:func.7">'&amp;'</a> <span class="p1">(<span class="default"><a href="zf_lang.html#K6" title="ZF_LANG:func.6">'not'</a> <span class="p2">(<span class="default"><a href="zf_lang.html#K26" title="ZF_LANG:func.26">the_consequent_of</a> <font color="Maroon" title="c1">H</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="zf_lang1.html#E3:25"><i><font color="Green" title="E10">A1</font></i></a>, <a class="ref" href="zf_lang1.html#T3" target="_self" title="ZF_LANG1:th.3">Th3</a></i>;<br/>
<b>hence </b><a NAME="E6:25"/>
 <a href="zf_lang.html#K20" title="ZF_LANG:func.20">the_argument_of</a> <font color="Maroon" title="c1">H</font> is <a href="zf_lang.html#V5" title="ZF_LANG:attr.5">conjunctive</a>
 <b>by </b><i><a class="ref" href="zf_lang.html#T16" title="ZF_LANG:th.16">ZF_LANG:16</a></i>;<br/>

<a NAME="E7:25"/>
 <a href="zf_lang.html#K22" title="ZF_LANG:func.22">the_right_argument_of</a> <span class="p1">(<span class="default"><a href="zf_lang.html#K20" title="ZF_LANG:func.20">the_argument_of</a> <font color="Maroon" title="c1">H</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zf_lang.html#K6" title="ZF_LANG:func.6">'not'</a> <span class="p1">(<span class="default"><a href="zf_lang.html#K26" title="ZF_LANG:func.26">the_consequent_of</a> <font color="Maroon" title="c1">H</font></span>)</span>
 
<b>by </b><i><a class="txt" href="zf_lang1.html#E5:25"><i><font color="Green" title="E11">A2</font></i></a>, <a class="ref" href="zf_lang1.html#T4" target="_self" title="ZF_LANG1:th.4">Th4</a></i>;<br/>
<b>hence </b><a NAME="E8:25"/>
 <a href="zf_lang.html#K22" title="ZF_LANG:func.22">the_right_argument_of</a> <span class="p1">(<span class="default"><a href="zf_lang.html#K20" title="ZF_LANG:func.20">the_argument_of</a> <font color="Maroon" title="c1">H</font></span>)</span> is <a href="zf_lang.html#V4" title="ZF_LANG:attr.4">negative</a>
 <b>by </b><i><a class="ref" href="zf_lang.html#T16" title="ZF_LANG:th.16">ZF_LANG:16</a></i>;<br/>


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